We report the use of broadband heterodyne spectroscopy to perform continuou
s measurement of the interaction energy E-int between one atom and a high-f
inesse optical cavity, during individual transit events of approximate to 2
50 mu s duration. We achieve a fractional sensitivity approximate to 4 x 10
(-4)/root Hz to variations in E-int/(h) over bar within a measurement bandw
idth that covers 2.5 decades of frequency (1-300 kHz). Our basic procedure
is to drop cold cesium atoms into the cavity from a magnetooptic trap while
monitoring the cavity's complex optical susceptibility with a weak probe l
aser. The instantaneous value of the atom-cavity interaction energy, which
in turn determines the coupled system's optical susceptibility, depends on
both the atomic position and (Zeeman) internal state. Measurements over a w
ide range of atom-cavity detunings reveal the transition from resonant to d
ispersive coupling, via the transfer of atom-induced signals from the ampli
tude to the phase of light transmitted through the cavity. By suppressing a
ll sources of excess technical noise, we approach a measurement regime in w
hich the broadband photocurrent may be interpreted as a classical record of
conditional quantum evolution in the sense of recently developed quantum t
rajectory theories.